725632 has 16 divisors (see below), whose sum is σ = 1445850. Its totient is φ = 362752.

The previous prime is 725603. The next prime is 725639. The reversal of 725632 is 236527.

It can be written as a sum of positive squares in only one way, i.e., 678976 + 46656 = 824^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 725597 and 725606.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725632.

It is not an unprimeable number, because it can be changed into a prime (725639) by changing a digit.

725632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2707 + ... + 2962.

2⁷²⁵⁶³² is an apocalyptic number.

It is an amenable number.

725632 is a deficient number, since it is larger than the sum of its proper divisors (720218).

725632 is an equidigital number, since it uses as much as digits as its factorization.

725632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5671 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 725632 is about 851.8403606310. The cubic root of 725632 is about 89.8611851809.

It can be divided in two parts, 72 and 5632, that multiplied together give a palindrome (405504).

The spelling of 725632 in words is "seven hundred twenty-five thousand, six hundred thirty-two".